The following is a street map of a beighbourhend. Study the street map and answer the questions
1.21 How many houses are there in this neighbourhood?
1.2.2 Which building is located next to the park? 1.2.3 Which business appears more than all the other businesses?
1.2.4 The bar (graphic or line) scale shows the distance of the bar in real life Measure the length of the bar in centimetres
1.2.5 Hence, use your measurement in QUESTION 1.24 to explain the scale of this street map 12.6 How many more houses are in the street at the top than the street at the bottom?​

Podras comprar un total de 8 docenas, y sobrara $1.30

Sabemos que una docena de bananos cuesta $2.65, y queremos ver cuantas docenas se peden comprar con $22.50, para ver esto, debemos tomar el cociente entre la cantidad de dinero que tenemos y el precio de una docena.

Obtendremos:

$22.50/$2.65 = 8.49

Redondenado al proximo numero entero obtenemos 8, es decir, se pueden comprar 8 docenas.

La cantidad que sobra es:

$22.50 - 8*$2.65 = $1.30

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a. The hypothesis to be tested are given as follows:

b. The p-value is of: 0.0047.

c. The decision is of: Reject the null hypothesis.

d. The conclusion is of: There is enough evidence to conclude that the mean rate is less for people who exercise regularly.

At the null hypothesis, it is tested if there is not enough evidence to conclude that the heart rate is less, than is, if the difference is not negative, hence:

[tex]H_0: \mu_d \leq 0[/tex]

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the heart rate is less, that is, if the difference is negative, hence:

[tex]H_1: \mu_d > 0[/tex]

The parameters to the p-value are given as follows:

We have a left-tailed test, as we are testing if the mean is less than a value, hence, using a t-distribution calculator, the p-value is of:

0.0047.

Since the p-value is less than the critical value, the decision and the conclusion are given as follows:

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If we use more than 133 minutes then the 2nd plan will be preferable.

Given:

The first plan charges a rate of 26 cents per minute. The second plan charges charges a monthly fee of $19.95 plus 11 cents per minute.

26 cents = $0.26

Let m be the minutes

19.95 + .17m < .32m

Subtract .17m from both sides

19.95 < .32m - .17m

19.95 < .15m

Divide both sides by .15

19.95/.15 < m

133 < m

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The value of the equation is 2² x A ²

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be D

D = 2 power 8 multiply by A power 5  /  4 power 3 multiply by a power 3​

So , on substituting the values in the equation , we get

D = 2⁸ x A⁵ / 4³ x A³

Now , 2⁸ /  4³ can be simplified as

4³ = 2⁶

So ,

2⁸ /  2⁶ = 2 ⁸⁻⁶

            = 2²

And , A⁵ / A³ can be simplified as

A⁵ / A³ = A⁵⁻³

           = A²

So , the equation becomes ,

D = 2⁸ x A⁵ / 4³ x A³

D = 2² x A²

D = ( 2A )²

Hence , the value of the equation is D = 2² x A²

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Answer:

x = 3

Step-by-step explanation:

Answer:

[tex]2(w-6^2)[/tex]

Step-by-step explanation:

We are doubling the difference, so we first need to find the difference. Our two numbers are [tex]w[/tex] and [tex]6^2[/tex] (you can also write 36 but that is how the problem states it). Therefore, the equation for that is [tex]w-6^2[/tex]. Then, if we double it, we get [tex]2(w-6^2)[/tex].

The surface area of the figure in square inches will be 17.5 inch².

It is defined as a six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape. It is also called a cuboid.

It is given that, Rectangular prism with dimensions 0.5 feet by 1.5 feet by 4 inches.

Length(l) = 0.5 ft = 6 inch

Width(w) = 1.5 ft = 18 inches

Height(h) = 4 inches

The surface area of the figure in square inches is found as,

S = 2(lw + lh + wh)

S=2(6×8 + 8×4 +4×6)

A = 17.5 inch²

Thus, the surface area of the figure in square inches will be 17.5 inch².

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Given equation to us is , [tex](m-3)r^2+9r-2=0[/tex] .

The given equation is a quadratic equation and it has two real solutions if it's discriminant is greater than or equal to 0 .

For a quadratic equation in standard form of

[tex]ax ^{2} + bx + c = 0[/tex]

the discriminant is given by b² - 4ac .

On comparing wrt to Standard form, we have ;

Now we have,

[tex]\longrightarrow b^2-4ac \geq 0\\\\\longrightarrow 9^2-4(m-3)(-2)\geq 0\\\\\longrightarrow 81 +8(m-3)\geq 0 \\\\\longrightarrow 81 +8m-24\geq 0 \\\\\longrightarrow 8m \geq 24-81 \\\\\longrightarrow 8m \geq -57 \\\\\longrightarrow \underline{\underline{ m \geq \dfrac{-57}{8}}}[/tex]

Therefore for all values greater than or equal to -57/8 the equation will have a real solution .

And we are done!

The equation (m-3)r² + 9r -2 = 0 will have two real solution for the value of m, greater than or equal to -57/8.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The standard form of equation of power two is ax²+bx+c =0 .

The given equation,

(m-3)r² + 9r -2 = 0

Compare the given equation with standard equation ax²+bx+c =0,

The value of a=m-3, b=9 and c=-2

An equation has two real solutions if a discriminant of the equation is greater than or equal to zero.

⇒D ≥ 0

⇒b²-4ac ≥ 0

Substitute the value of a, b and c,

⇒9² - 4×(m-3)(-2) ≥ 0

⇒81 +8m - 24 ≥ 0

⇒8m ≥ -57

⇒ m ≥ -57/8

For the values of m greater than or equal to -57/8, the equation have two real solutions.

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The number of point on this graph that represent a relative minimum is one, which is point b.

In Mathematics, a function simply refers to a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair (x, y)on a graph.

A relative minimum can be defined as the lowest point or valley point on the graph of a function. Additionally, all of the points that are located to the left and right of the lowest point (valley point) on a graph must be larger than the relative minimum.

By critically observing the graph of function f(x), we can reasonably and logically deduce the following information:

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The cement kinds will be listed in order of highest to lowest unit rate of pounds per day: C > A > D > B.

The table shows the rates at which each type is sold. A workday is 8 hours, and each pound of cement sells for 4.50.

Type A cement,

Forty pounds were sold in one day.

unit rate = 40 pounds per day

Type B cement,

6y = 2x, where x is in pounds and y is in hours

Since the workday is 8 hours, so substitute the value of x = 8 and we get

6y = 2(8)

6y = 16

y = 16/6 = 2.67

This means the unit rate = 2.67 pounds per day

Type C cement,

After 3 hours, 45 worth had been sold.

After 8 hours,

The worth had been sold = 8×45/3 = 120

unit rate = 120 pounds per day

Type D cement,

The ratio of days to pounds sold was 2: 60.

So, unit rate = 60/2 = 30 pounds per day

So the types of cement in order from highest to lowest unit rate of pounds per day will be :

C > A > D > B

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Answer:

Lauren has 30 jellybeans

Step-by-step explanation:

Let x - Lauren

Let y = Haley

[tex]\frac{x}{y}[/tex] = [tex]\frac{3}{8}[/tex]  Cross multiply

8x + 3y

x = y - 50  Substitute y - 50 into the equation above for x

8(y -50) = 3y

8y -400 = 3y  Subtract 8y from both sides

-400 = -5y  Divide both sides by -5

80 = y  This is Haley's jellybeans

x = y = 50

x = 80 - 50

x = 30 This is Lauren's jellybeans.

Answer:

-35/-7=5

Step-by-step explanation:

Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication

The equation that can be used  to determine the number of plates p, that he used is 6p = 48.

Jim is a preschool teacher. While he was getting ready for his class's snack time, he put 6 carrots on each plate.

He used 48 total carrots. The equation that could be used to determine the number of plates, p, that he used can be represented as follows:

let

p = number of of plates

Therefore,

6 carrots are put on each plate.

He has 48 carrots.

Hence, the equation is  6p = 48

p = 48 / 6

p = 8

Therefore,

number of plates = 8

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The number of plates he used is can be calculated by 6p = 48

How to determine this?

He was said to put 6 carrots on each plates

And used 48 total carrots  altogether

p representing the number of plates

That is, 6 carrots in p places

6 carrots × p

= 6p

Given that 48 carrots used altogether

6p = the total number of carrots

Therefore, 6p  = 48

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The nth term of the sequence is aₙ = 48 + 2n

The definition of the function is given as

a₁= 50

aₙ = aₙ₋₁ + 2

The above definitions imply that we simply add 2 to the previous term to get the current term

Using the above as a guide, we have:

The common difference, d = 2

First term, a = 50

The nth term of the sequence is calculated as

aₙ = a₁ + (n - 1)* d

Substitute the known values in the above equation

So, we have the following representation

aₙ = 50 + (n - 1)* 2

So, we have

aₙ = 50 + 2n - 2

Evaluate the like terms

aₙ = 48 + 2n

Hence, the nth term is aₙ = 48 + 2n

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If all the television at the stores are 3/4 of the original price and has a $40 discount coupon, then the equation which she used to find the price of the television is f = (3/4)p - 40

The original price of the television = p

The 3/4 of the original price = (3/4)p

The worth of the discount coupon = $40

So the discount price will be subtracted

Then, the final price of the television = (3/4) × The original price of the television - The worth of the discount coupon

Substitute the values in the equation

The final price of the television f = (3/4)p - 40

Hence, If all the television at the stores are 3/4 of the original price and has a $40 discount coupon, then the equation which she used to find the price of the television is f= (3/4)p - 40

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Answer:

Step-by-step explanation:

2x+3x+8-3x-2 = 2x + 6

If your cost of money is 6.4 percent, what is the current value of the lease is equal to $820.0054.

In Economics, a lease can be defined as a contractual agreement between a lessor and lessee, which avails the lessee an opportunity to make use of an asset, while making payments in instalment to the lessor for a specific period of time.

Mathematically, the current (present) monetary value of a lease can be calculated by using this formula:

Current value, PV = [Annuity × (1 + r) × [1 - (1 + r)^{-n}]/r]

Where:

Note: r = 0.064/12 = 0.0053333

Substituting the given parameters into the formula, we have;

Current value, PV = [144 × (1 + 0.0053333) × [1 - (1 + 0.0053333)^{-36}]/0.0053333]

Current value, PV = [144 × (1.0053333) × [1 - (1.0053333)^{-36}]/0.0053333]

Current value, PV = [144 × (1.0053333) × [1 - 0.8257290]/0.0053333]

Current value, PV = [144 × (1.0053333) × [0.174271/0.0053333]

Current value, PV = 25.095024 × 32.6760167

Current value, PV = $820.0054.

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Answer:

50 degrees

Step-by-step explanation:

sum of all three angles on any triangle is equal 180 degrees so first we add the first 2 given angles

70+60

130

Now we subtract from 180 to find the unknown angle

180-130

50 degrees

Hopes this helps please mark brainliest

x + 60° + 70 = 180°

( sum of interior angle of triangle is 180° )

x + 130° = 180°

x = 180° - 130°

x = 50°

hope it helps...

The volume of the solid obtained by rotating the region bounded by the given curves about the x-axis is 48π

Volume of the Solid:

Volume refers the measure of how much space an object takes up and it is measured by the number of unit cubes it takes to fill up the solid.

Given,

Here we have to use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

xy = 6, x = 0, y = 6, y = 8.

Here we know that,

xy = 6

Then the value of x is obtained as,

=> x = 6/y

Now, the volume of the solid is calculated with the given interval [6,8] as.

=> V = 2π ∫₆⁸ y x (6/y)/dy

=>  2π∫₆⁸ 6/dy

When we differentiate the equation, then we get,

=> 24π[y]₆⁸

=> 24π [8 - 6]

=> 24π [2]

=> 48π

Therefore, the volume of the solid is 48π.

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Step-by-step explanation:

Zhang invests $2,600 in two different accounts. The first account paid 11%, the second account paid 5% in interest. At the end of the first year he had earned $220 in interest. How much was in each account?

11% = 0.11

in account 1: $220/0.11 = $2,000

in account 2: $2,600 - $2,000 = $600

$2,000 At 11%

$600 At 5%

Answer:

10 cm

Step-by-step explanation:

since DE is probably equal to AD which is 17 we subtract the length of the side of CD to find CE

Length CD can be found because it is equal to AB which is 7 cm so we subtract

17-7=10

Hopes this helps please mark brainliest

Answer:

CE = 10

Step-by-step explanation:

Because they are congruent:

AD = 17, that means DE = 17

AB = 7, that means CD = 7

To find what CE is, we start with the full length:

DE

and by subtracting CD (that's part of the length), we can get CE.

DE - CD = CE

Just substitute the values in:

17 - 7 = 10

CE = 10

So there's the answer, but check this out:

CE + CD = DE

10 + 7 = 17

The relation for x and y is given as y = 26/x. The correct answer is option (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The proportionality relation between x and y as

y ∝ 1/x

And, y = 2 at x = 13.

Suppose k is the constant of proportionality.

Then, y = k/x

Substitute y = 2 and x = 13 in the above equation to obtain,

2 = k/13

=> k = 26

Thus, by substituting the value of k the equation can be written as y = 26/x.

Hence, the equation that relates x and y is y = 26/x.

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The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).

Its geometric meaning is the slope of tangent of the function at a given point.

The given function is as below,

y = sec⁻¹(x³)

The given function is a composite function of sec⁻¹x and x³.

In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,

dx³/dx = 3x²

And, dsec⁻¹x /dx = 1/x√(x² - 1)

Now, differentiation of sec⁻¹(x³) is given as,

d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))

                      = 3x/√(x² - 1)

Hence, the differentiation of the given function is 3x/√(x² - 1).

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Answer: x = -8

Step-by-step explanation:

1. Add 10 to both sides

-3x = 14 + 10

2. Simplify 14 + 10 to 24

-3x = 24

3. Divide both sides by -3

x = [tex]-\frac{24}{3}[/tex]

4. Simplify [tex]\frac{24}{3}[/tex] to 8

x = -8

Glens have 110 coins in his entire collection.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Glens coins from Denmark are eleven 11.

These 11 coins are 10% of his entire coins.

We need to find how many coins Glens has.

Let x be the entire collection of Glens coins

10/100x=11

0.1x=11

Divide both sides by 0.1

x=110

Hence, Glens have 110 coins in his entire collection.

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The value obtained after solving the expression will be equal to (-1, 1).

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given in for the mention in the question,

x² = 36

x = ±6

Therefore, the values are -6, and +6.

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The Perimeter of the given Reactangle is 6*length

Whta is a Rectanglee?

A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can alternatively be classified as an equiangular quadrilateral since all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.

Solution:

Let,

the length be l

and breadth be b

According to the question,

l = (1/2)b

We know that Perimeter of Rectangle = 2(length + breadth)

From the variable mentioned above

Perimeter = 2*(l+b)

Perimeter = 2*(l + 2l)

Perimeter = 2*(3l)

Perimeter = 6l

The Perimeter of the given Reactangle is 6*length

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Answer:

Let x be the width of the rectangle.

The expression to represent the perimeter of the rectangle is 3x.

Step-by-step explanation:

Definition of the variable:

If the rectangle has a length that is half its width, then:

The perimeter of a two-dimensional shape is the distance all the way around the outside. Therefore, the perimeter of a rectangle is twice the sum of its length and width.

[tex]\begin{aligned}\textsf{Perimeter of the rectangle}&=2 \left(\;\sf length+width\; \right)\\& = 2\left(\dfrac{1}{2}x+x\right)\\& = 2 \left(\dfrac{3}{2}x\right)\\& = 3x\end{aligned}[/tex]

Therefore, an expression to represent the perimeter of the rectangle is:

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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The corresponding probabilities of the random variables x = (0, 1, 2, 3, 4, 5, and 6) are  (0.2401, 0.4116, 0.2646, 0.0756, 0.0081, 0, and 0)

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . π^r  . q^n-r

Given: n = 4 and π = 0.30, q = 1 - π = 1 - 0.30 = 0.70 and x = (0, 1, 2, 3, 4, 5, 6)

P(x = 0) = 4C0 × 0.3⁰ × 0.7⁴⁻⁰ = 0.2401

P(x = 1) = 4C1 × 0.3¹ × 0.7⁴⁻¹ = 0.4116

P(x = 2) = 4C2 × 0.3² × 0.7⁴⁻² = 0.2646

P(x = 3) = 4C3 × 0.3³ × 0.7⁴⁻³ = 0.0756

P(x = 4) = 4C4 × 0.3⁴ × 0.7⁴⁻⁴ = 0.0081

P(x = 5) = 0

P(x = 6) = 0

Note: P(x = 5) and P(x = 6) are 0 because their x (5 and 6) is greater than the n (4)

Therefore, the probabilities of the random variables x(0, 1, 2, 3, 4, 5, and 6) are  0.2401, 0.4116, 0.2646, 0.0756, 0.0081, 0, and 0 respectively

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